SOLUTION: Hi, Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent this situation, letting x be the number of nickel

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Question 422961: Hi,
Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent this situation, letting x be the number of nickels and y represent the number of quarters. Then he solved the system by graphing. What is the solution?
A)(6,9)
B) (5,10)
Thanks for you help, been really appreciated
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
"Marcos had 15 coins in nickels and quarters" means that

"He had 3 more quarters than nickels" means that

Graph the two equations to get

Graph of (red) and (green)

We can see that they intersect at the point (6,9). So the solution is choice A)

Notice that 6+9 = 15 and 9 = 6 + 3

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Marcos had 15 coins in nickels and quarters.
n + q = 15
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He had 3 more quarters than nickels.
q = n + 3
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He wrote a system of equations to represent this situation, letting n be the number of nickels and q represent the number of quarters. Then he solved the system by graphing. What is the solution?

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Ans: A
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Cheers,
Stan H.
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A)(6,9)
B) (5,10)